On the Power-Variance Family of Probability Distributions

DOI10.1081/STA-120029821zbMath1114.60308MaRDI QIDQ3155310

Vladimir V. Vinogradov

Publication date: 14 January 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

Related Items (13)

Domains of attraction to Tweedie distributions ⋮ A finite mixture of multiple discrete distributions for modelling heaped count data ⋮ New properties and representations for members of the power-variance family. II ⋮ On Poisson-Tweedie mixtures ⋮ Flexible Tweedie regression models for continuous data ⋮ The first-passage-time moments for the Hougaard process and its Birnbaum-Saunders approximation ⋮ On Kendall-Ressel and related distributions ⋮ On approximations for two classes of Poisson mixtures ⋮ On structural and asymptotic properties of some classes of distributions ⋮ Structural, continuity, and asymptotic properties of a branching particle system ⋮ Some Utilizations of LambertWFunction in Distribution Theory ⋮ A new class of continuous Bayesian networks ⋮ On Infinitely Divisible Exponential Dispersion Model Related to Poisson-Exponential Distribution

Cites Work

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• Reproducibility and natural exponential families with power variance functions
• Exponential families of stochastic processes
• Survival models for heterogeneous populations derived from stable distributions
• On the Factorization of Distributions

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